Verify that a, is an eigenvalue of A and that x, is a corresponding eigenvector. 1 = -11, x, - (1, 2, –1) аz - -3, х, - (-2, 10) Ag - -3, х, - (3, 0, 1) -4 -2 A = -2 -7 1 2 -6 -4 -2 3 Ax 2 =1,x, -2 -7 2 -6 -4 -2 3 AX2= -2 -7 -3 6 1 2 -6 -4 -2 3 Ax3 = -2 -7 6. 1 2 -6

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1.

Verify that a, is an eigenvalue of A and that x, is a corresponding eigenvector.
-11, x, = (1, 2, -1)
3, х, - (-2, 1 0)
-3, x, = (3, 0, 1)
-4 -2
3
=
A =
-2 -7
6.
= -
=
1.
2 -6
-4 -2
3
1
Ах,
-2 -7
= -11
2 -6
-4 -2
3
-2
-2
Ax2 =
= -3
=1X2
-2 -7
=
2 -6
-4 -2
AX3 =
-2 -7
6
-3
2 -6
m66
Transcribed Image Text:Verify that a, is an eigenvalue of A and that x, is a corresponding eigenvector. -11, x, = (1, 2, -1) 3, х, - (-2, 1 0) -3, x, = (3, 0, 1) -4 -2 3 = A = -2 -7 6. = - = 1. 2 -6 -4 -2 3 1 Ах, -2 -7 = -11 2 -6 -4 -2 3 -2 -2 Ax2 = = -3 =1X2 -2 -7 = 2 -6 -4 -2 AX3 = -2 -7 6 -3 2 -6 m66
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